Answer :
We start with Newton's second law of motion, which relates force, mass, and acceleration by the equation
[tex]$$ F = m \times a. $$[/tex]
In this problem, the force [tex]$F$[/tex] is given as [tex]$200\,\text{N}$[/tex] and the acceleration [tex]$a$[/tex] is given as [tex]$8\,\text{m/s}^2$[/tex]. We need to find the mass [tex]$m$[/tex].
To do this, we rearrange the equation to solve for [tex]$m$[/tex]:
[tex]$$ m = \frac{F}{a}. $$[/tex]
Substitute the given values into the formula:
[tex]$$ m = \frac{200}{8}. $$[/tex]
Performing the division:
[tex]$$ m = 25\,\text{kg}. $$[/tex]
Thus, the mass of the crate is [tex]$25\,\text{kg}$[/tex].
[tex]$$ F = m \times a. $$[/tex]
In this problem, the force [tex]$F$[/tex] is given as [tex]$200\,\text{N}$[/tex] and the acceleration [tex]$a$[/tex] is given as [tex]$8\,\text{m/s}^2$[/tex]. We need to find the mass [tex]$m$[/tex].
To do this, we rearrange the equation to solve for [tex]$m$[/tex]:
[tex]$$ m = \frac{F}{a}. $$[/tex]
Substitute the given values into the formula:
[tex]$$ m = \frac{200}{8}. $$[/tex]
Performing the division:
[tex]$$ m = 25\,\text{kg}. $$[/tex]
Thus, the mass of the crate is [tex]$25\,\text{kg}$[/tex].
